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Foreach

Syntax

Foreach X In L Do C EndForeach

where X is a dummy variable, L is a list, and C is a sequence of commands.
    

Summary

loop command

Description

The dummy variable X is assigned the value of each component of L in turn. After each assignment the command sequence C is executed. Note: don't forget to capitalize In.

example

    
Foreach N In 1..10 Do  -- Note: 1..10 gives the list [1,...,10].
  Print(N^2, " ");
EndForeach;
1 4 9 16 25 36 49 64 81 100 
-------------------------------
Use R ::= Q[x,y,z];
F := x^2y + 3y^2z - z^3;
J := [Der(F,X) | X In Indets()];  -- the Jacobian for F
J;
[2xy, x^2 + 6yz, 3y^2 - 3z^2]
-------------------------------
Foreach X In J Do -- square each component of the Jacobian
  PrintLn(X^2);
EndForeach;
4x^2y^2
x^4 + 12x^2yz + 36y^2z^2
9y^4 - 18y^2z^2 + 9z^4

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See Also